Search a number
-
+
47016752640 = 29351113311381
BaseRepresentation
bin101011110010011010…
…101011011000000000
311111100200022111120220
4223302122223120000
51232242242041030
633333232103040
73253055542404
oct536232533000
9144320274526
1047016752640
1118a37805170
129141994a80
1345839a27c0
1423c0449104
151352a0ea10
hexaf26ab600

47016752640 has 640 divisors, whose sum is σ = 182412324864. Its totient is φ = 10174464000.

The previous prime is 47016752603. The next prime is 47016752669. The reversal of 47016752640 is 4625761074.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 47016752592 and 47016752601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34044750 + ... + 34046130.

Almost surely, 247016752640 is an apocalyptic number.

47016752640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47016752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91206162432).

47016752640 is an abundant number, since it is smaller than the sum of its proper divisors (135395572224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47016752640 is a wasteful number, since it uses less digits than its factorization.

47016752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 47016752640 in words is "forty-seven billion, sixteen million, seven hundred fifty-two thousand, six hundred forty".